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Approximate Bertrand Equilibria in a Replicated Industry

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  • Huw Dixon

Abstract

This paper considers the existence and properties of approximate Bertrand equilibria in a replicated industry. Price setting firms produce a homogeneous product with weakly convex costs. The main results are that: (a) Given ɛ > 0, an ɛ-equilibrium exists if the industry is large enough; (b) If the ɛ is small enough, and the industry large enough, any ɛ-equilibrium is approximately competitive. These results depend on how contingent demand is specified.

Suggested Citation

  • Huw Dixon, 1987. "Approximate Bertrand Equilibria in a Replicated Industry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 47-62.
    • Handle: RePEc:oup:restud:v:54:y:1987:i:1:p:47-62.
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    File URL: http://hdl.handle.net/10.2307/2297445
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    Cited by:

    1. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
    2. Chowdhury, Prabal Roy, 1999. "Bertrand-Edgeworth equilibria with unobservable output, uncoordinated consumers and large number of firms," Economics Letters, Elsevier, vol. 63(2), pages 207-211, May.
    3. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    4. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    5. Chowdhury, Prabal Roy, 2003. "Bertrand-Edgeworth equilibrium large markets with non-manipulable residual demand," Economics Letters, Elsevier, vol. 79(3), pages 371-375, June.
    6. García Díaz, Antón & Hernán González, Roberto & Kujal, Praveen, 2009. "List pricing and discounting in a Bertrand-Edgeworth duopoly," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 719-727, November.
    7. García Díaz, Antón, 1998. "List princing and pure strategy outcomes in a bertrand edgeworth duopoly," UC3M Working papers. Economics 6089, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Gad Allon & Itai Gurvich, 2010. "Pricing and Dimensioning Competing Large-Scale Service Providers," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 449-469, August.
    10. Hirata, Daisuke, 2008. "Bertrand-Edgeworth Equilibrium in Oligopoly," MPRA Paper 7946, University Library of Munich, Germany.
    11. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium: Manipulable residual demand," Discussion Papers 04-15, Indian Statistical Institute, Delhi.
    12. Bary S. R. Pradelski & Bassel Tarbush, 2024. "Satisficing Equilibrium," Papers 2409.00832, arXiv.org.
    13. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium with a large number of firms," Discussion Papers 04-12, Indian Statistical Institute, Delhi.
    14. Canoy, Marcel & Weddepohl, Claus, 1995. "Alternative conjectures in a Bertrand-Edgeworth model," European Journal of Political Economy, Elsevier, vol. 11(3), pages 577-598, September.
    15. repec:cte:werepe:we050902 is not listed on IDEAS
    16. Buechel, Berno & Klein, Jan, 2014. "Do Consumers' Preferences Really Matter? - A Note on Spatial Competition with Restricted Strategies," MPRA Paper 55288, University Library of Munich, Germany.
    17. Gad Allon & Achal Bassamboo & Eren B. Çil, 2012. "Large-Scale Service Marketplaces: The Role of the Moderating Firm," Management Science, INFORMS, vol. 58(10), pages 1854-1872, October.
    18. Tasnádi, Attila, 2001. "A Bertrand-Edgeworth-oligopóliumok. Irodalmi áttekintés [Bertrand-Edgeworth oligopolies - a survey of the literature]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1081-1092.
    19. Qi Feng & Yuanchen Li & J. George Shanthikumar, 2020. "Competitive Revenue Management with Sequential Bargaining," Production and Operations Management, Production and Operations Management Society, vol. 29(5), pages 1307-1324, May.
    20. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29, CPB Netherlands Bureau for Economic Policy Analysis.
    21. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    22. Oksana Loginova, 2022. "Price competition online: Platforms versus branded websites," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(2), pages 259-283, April.

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